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Finding the Fourth Proportional to 176,677.82, 243,774.17 and 103,078.78

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Solution

The fourth proportional to 176,677.82, 243,774.17 and 103,078.78 is: 142,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,677.82 : 243,774.17 = 103,078.78 : x
  2. Step 2: Convert to fraction form
    176,677.82/243,774.17 = 103,078.78/x
  3. Step 3: Cross multiply
    176,677.82x = 243,774.17 × 103,078.78
  4. Step 4: Simplify right side
    176,677.82x = 25,127,942,304.85
  5. Step 5: Solve for x
    x = 25,127,942,304.85/176,677.82
  6. Step 6: Final answer
    x = 142,224.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.